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" Solution of Crack Problems : "
by D.A. Hills, P.A. Kelly, D.N. Dai, A.M. Korsunsky.
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BL
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| Record Number
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776505
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b596502
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| Main Entry
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by D.A. Hills, P.A. Kelly, D.N. Dai, A.M. Korsunsky.
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| Title & Author
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Solution of Crack Problems : : the Distributed Dislocation Technique\ by D.A. Hills, P.A. Kelly, D.N. Dai, A.M. Korsunsky.
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| Publication Statement
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Dordrecht : Springer Netherlands, 1996
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| Series Statement
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Solid mechanics and its applications, 44.
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(xii, 308 pages)
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| ISBN
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9401586489
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: 9789401586481
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| Contents
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1 Introduction to Fracture Mechanics --; 2 Distributed Dislocation Fundamentals --; 3 Further Topics in Plane Crack Problems --; 4 Interface Cracks --; 5 Solution of Axi-Symmetric Crack Problems --; 6 Three-Dimensional Cracks: An Introduction --; 7 Three-Dimensional Cracks: Further Concepts --; 8 Concluding Remarks --; A Dislocation Influence Functions --; A.1 Notation --; A.2 A Dislocation Outside a Circular Inclusion --; A.2.1 A Dislocation Near a Circular Hole --; A.3 A Dislocation Near a Straight Interface --; A.3.1 A Dislocation in a Half-Plane --; A.4 The Interfacial Dislocation --; A.4.1 Interfacial Stresses --; A.5 A Dislocation on the Boundary of a Circular Inclusion --; A.6 Displacements Due to a Dislocation --; A. 7 Transformation Rules for the Dislocation --; A.8 Dundurs' Parameters --; B Numerical Solution of SIEs with Cauchy Kernel --; B.l The Standard Gaussian Quadrature Formulae --; B.2 Gaussian Quadrature for SIEs with Cauchy Kernel --; B.3 SIEs Arising in Surface-Breaking Crack Problems --; B.3.1 The Method of Boiko and Karpenko --; B.3.2 Expansion Method --; B.3.3 Series Expansion --; B.4 Numerical Quadrature: Generalised Cauchy Kernel --; C Plane and Ring Dipole Influence Functions --; C.1 Plane Influence Functions --; C.2 Plane Dipole Transformation Rules --; C.3.1 Asymptotic Behaviour of the Integrals --; C.3.2 Numerical Considerations --; C.4 Finite Part Integrals --; D Contour Integral and Kernel Function --; D.1 Closed-Form of Certain Contour Integrals --; References.
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| Abstract
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This book describes a family of state-of-the-art numerical and semi-analytical techniques for determining stress intensity factors for cracks; the quantities which determine and control the fatigue life of engineering components. Fatigue problems are dominated by behaviour of the crack when it is short, and in the neighbourhood of the source of nucleation, as this is where the majority of the life is used up. A knowledge of crack-tip stress intensity factors in this regime is paramount. The techniques described in this book are very efficient methods of determining stress intensity factors with great precision and computational efficiency. This will allow for accurate estimates of component life and inspection intervals.
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Integral equations.
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Mechanics.
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Physics.
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| LC Classification
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TA409.B933 1996
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| Added Entry
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A M Korsunsky
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D A Hills
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D N Dai
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P A Kelly
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